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Finding the Fourth Proportional to 664.27, 914.07 and 602.17

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Solution

The fourth proportional to 664.27, 914.07 and 602.17 is: 828.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.27 : 914.07 = 602.17 : x
  2. Step 2: Convert to fraction form
    664.27/914.07 = 602.17/x
  3. Step 3: Cross multiply
    664.27x = 914.07 × 602.17
  4. Step 4: Simplify right side
    664.27x = 550,425.53
  5. Step 5: Solve for x
    x = 550,425.53/664.27
  6. Step 6: Final answer
    x = 828.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.